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Further robust stability analysis for uncertain Takagi-Sugeno fuzzy systems with time-varying delay via relaxed integral inequality. (English) Zbl 1432.93269
Summary: This paper focuses on robust stability analysis for uncertain Takagi-Sugeno fuzzy systems with time-varying delays. Two delay-product-type terms are introduced for constructing a new Lyapunov-Krasovskii functional, which contains more information of time-varying delay. And a novel relaxed integral inequality is applied to estimate the derivative of LKF for achieving reduction of estimation gap. As a result, several further robust stability criteria with less conservativeness are proposed. Finally, three numerical examples and an application to control of a truck-trailer are provided to show the effectiveness and advantages of the presented methods.

##### MSC:
 93D09 Robust stability 93C42 Fuzzy control/observation systems 93C41 Control/observation systems with incomplete information 93C43 Delay control/observation systems
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